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42023233 = 722929573
BaseRepresentation
bin1010000001001…
…1100101000001
32221002000001001
42200103211001
541224220413
64100412001
71020122500
oct240234501
987060031
1042023233
11217a274a
12120a7001
138924725
14581c837
153a514dd
hex2813941

42023233 has 12 divisors (see below), whose sum is σ = 50571540. Its totient is φ = 34776672.

The previous prime is 42023227. The next prime is 42023239. The reversal of 42023233 is 33232024.

It is an interprime number because it is at equal distance from previous prime (42023227) and next prime (42023239).

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 28976689 = 3612^2 + 5383^2 .

It is a de Polignac number, because none of the positive numbers 2k-42023233 is a prime.

It is a super-2 number, since 2×420232332 = 3531904223544578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42023233.

It is not an unprimeable number, because it can be changed into a prime (42023239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13366 + ... + 16207.

It is an arithmetic number, because the mean of its divisors is an integer number (4214295).

Almost surely, 242023233 is an apocalyptic number.

It is an amenable number.

42023233 is a deficient number, since it is larger than the sum of its proper divisors (8548307).

42023233 is a wasteful number, since it uses less digits than its factorization.

42023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29616 (or 29609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 42023233 is about 6482.5329154583. The cubic root of 42023233 is about 347.6667467431. Note that the first 3 decimals are identical.

Adding to 42023233 its reverse (33232024), we get a palindrome (75255257).

It can be divided in two parts, 420 and 23233, that added together give a triangular number (23653 = T217).

The spelling of 42023233 in words is "forty-two million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 7 29 49 203 1421 29573 207011 857617 1449077 6003319 42023233